| 1. | The linearization of in all directions at once is called the total derivative.
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| 2. | It can be viewed as a generalization of the total derivative of ordinary calculus.
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| 3. | Throughout this article only partial and total derivatives are used.
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| 4. | Therefore, the partial derivative of specific entropy may be changed into a total derivative
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| 5. | The definition of the total derivative subsumes the definition of the derivative in one variable.
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| 6. | Where the summation over repeated indices is Einstein Hilbert Lagrangian becomes, up to total derivatives,
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| 7. | The total derivative of a function is different from its corresponding partial derivative ( \ partial ).
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| 8. | The second term is a total derivative.
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| 9. | For example, the total derivative of f ( t, x, y ) with respect to t is
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| 10. | The total derivative adds in these " indirect dependencies " to find the overall dependency of f on t.
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